Figures REF  and REF  show the results obtained for two 3D triangulation representing an octopus
and a hand ( models 125.off and 200.off of the Princeton Segmentation Benchmark [1]}). In these examples, the distance
matrix \(D\)  was computed using the geodesic metric to measure the distance between triangles. In Figure REF 
we plot the absolute error (REF ) as function of \(k\) . The red curve corresponds to the error
(REF ) obtained when \(A^k\)  is the matrix \(E^k\)  of the best rank \(k\)  approximation of \(W\) . Similarly,
magenta and blue curves are computed with \(A^k=G^k,H^k\)  respectively.
Since \(H^k=F^k\)  (see Proposition 1) the curve corresponding to Nyström projection agrees with the blue curve corresponding to
the embedding proposed in this paper. Observe that this curve is the closest to the curve obtained for the embbeding corresponding
to the best approximation of the affinity matrix.
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